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107555205118416 = 24311266376493819
BaseRepresentation
bin11000011101001000100101…
…110010110111100111010000
3112002211011210011122210122220
4120131020211302313213100
5103044141030002242131
61020430102404501040
731440415151065206
oct3035104562674720
9462734704583586
10107555205118416
11312a79a7370520
1210090b046aa780
134802548b47883
141c7b9b1db5076
15c67b57418e96
hex61d225cb79d0

107555205118416 has 80 divisors (see below), whose sum is σ = 303223950282240. Its totient is φ = 32580246962560.

The previous prime is 107555205118411. The next prime is 107555205118433. The reversal of 107555205118416 is 614811502555701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107555205118411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36840846 + ... + 39652973.

It is an arithmetic number, because the mean of its divisors is an integer number (3790299378528).

Almost surely, 2107555205118416 is an apocalyptic number.

107555205118416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107555205118416 is an abundant number, since it is smaller than the sum of its proper divisors (195668745163824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107555205118416 is a wasteful number, since it uses less digits than its factorization.

107555205118416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76496504 (or 76496498 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 51.

The spelling of 107555205118416 in words is "one hundred seven trillion, five hundred fifty-five billion, two hundred five million, one hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2663 5326 7989 10652 15978 21304 29293 31956 42608 58586 63912 87879 117172 127824 175758 234344 351516 468688 703032 1406064 76493819 152987638 229481457 305975276 458962914 611950552 841432009 917925828 1223901104 1682864018 1835851656 2524296027 3365728036 3671703312 5048592054 6731456072 10097184108 13462912144 20194368216 40388736432 203703039997 407406079994 611109119991 814812159988 1222218239982 1629624319976 2240733439967 2444436479964 3259248639952 4481466879934 4888872959928 6722200319901 8962933759868 9777745919856 13444400639802 17925867519736 26888801279604 35851735039472 53777602559208 107555205118416